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Reflection of sound at area expansions in a flow duct
KTH, Superseded Departments, Vehicle Engineering.ORCID iD: 0000-0003-4103-0129
Växjö University, School of Mathematics and Systems Engineering, Sweden.
2003 (English)In: Journal of Sound and Vibration, ISSN 0022-460X, E-ISSN 1095-8568, Vol. 260, no 3, 477-498 p.Article in journal (Refereed) Published
Abstract [en]

An analytical model for scattering at area discontinuities and sharp edges in flow ducts and pipes is presented. The application we have in mind is large industrial duct systems, where sound attenuation by reactive and absorptive baffle silencers is of great importance. Such devices commonly have a rectangular cross-section, so the model is chosen as two-dimensional. Earlier solutions to this problem are reviewed in the paper. The modelling of the flow conditions downstream of the area expansion, with and without extended edges, and its implications for the resulting acoustic modes are discussed. Here, the scattering problem is solved with the Wiener–Hopf technique, and a Kutta condition is applied at the edge. The solution of the wave equation downstream of the expansion includes hydrodynamic waves, of which one is a growing wave. Theoretical results are compared with experimental data for the reflection coefficient for the plane wave, at frequencies below the cut-on for higher order modes. Influence of the interaction between the sound field and the flow field is discussed. A region where the reflection coefficient is strongly Strouhal number dependent is found.

Place, publisher, year, edition, pages
2003. Vol. 260, no 3, 477-498 p.
National Category
Engineering and Technology
URN: urn:nbn:se:kth:diva-12468DOI: 10.1016/S0022-460X(02)00950-1ISI: 000181140100006OAI: diva2:313136

QC 20100429

Available from: 2010-04-26 Created: 2010-04-26 Last updated: 2016-09-20Bibliographically approved

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